Lester Zick (email@example.com)
Mon, 10 May 1999 12:02:45 -0400
It is possible to correlate several of the most basic relationships in
quantum mechanics in analytical terms. Einstein's famous energy-mass
equivalence, Planck's constant, and the Heisenberg uncertainty constant
are all related mechanically to one another and, in fact, simply
represent different aspects of particle structure and properties.
The primary barrier to the proper analysis of particle structure is the
exact significance of Planck's constant and the meaning of what it
measures. The conventional interpretation of Planck's constant considers
energy to be the result of the product of frequency and some mysterious
unit or quantum of angular momentum. However, this misstates the
significance of what is being measured.
The units of Planck's constant are in fact those of angular momentum.
But, strictly speaking, it is not constant angular momentum but some
change in angular momentum that is involved. To clarify the point,
consider the frequency. If angular momentum were not changing and it
were not the change being measured, the process could have no frequency
and, of course, there would be no energy.
This is in direct conflict with contemporary views on angular mechanics.
A body rotating with constant angular velocity is considered to have a
constant angular momentum. Yet this ignores the rotation of the velocity
vector. In fact, if the angular momentum of every element in the body
were not changing, why would the body rotate? It rotates because the
angular momentum does change. If not, all parts of the body would
continue moving in straight line.
Clearly this represents a revisionist departure from classical
approaches. But there is no other interpretation of the mechanics
involved which yields the correct analytical correlation of particle
properties. In order to have a frequency, there must be some change in
angular momentum, and without a frequency motion will continue in a
straight line. Motion involving a change in angular momentum will have a
frequency and will have some energy as a multiple of Planck's constant.
And it is this quantum rate of change in angular momentum that is
reflected in Planck's constant.
ref http://home.earthlink.net/~lesterzick under the section Analytical
Regards - Lester
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